Question

**Newton's Law of Cooling.** A red bull is taken
out of an ice chest with a temperature of 38°F and placed on a
picnic table with a surrounding temperature of 75°F. After 5
minutes, the temperature of the drink is 45°F.

What will the temperature of the drink be 20 minutes of after it is
taken out of the chest? Round to the nearest degree.

How long until the drink reaches the undrinkable temperature of
70°F? Round to the nearest minute.

Answer #1

Nearest minute is 48 minutes.

Use Newton's Law of Cooling to solve the
problem.
A dish of lasagna baked at 350°F is taken out of the oven into a
kitchen that is 71°F. After 7 minutes, the temperature of the
lasagna is 295.6°F. What will its temperature be 15 minutes after
it was taken out of the oven? Round your answer to the nearest
degree.

This exercise uses Newton's Law of Cooling.
Newton's Law of Cooling is used in homicide investigations to
determine the time of death. The normal body temperature is 98.6°F.
Immediately following death, the body begins to cool. It has been
determined experimentally that the constant in Newton's Law of
Cooling is approximately k = 0.1947, assuming time is
measured in hours. Suppose that the temperature of the surroundings
is 55°F.
(a) Find a function T(t) that models the
temperature t hours after...

According to Newton's Law of Cooling
A cup of coffee with temperature of 130F is placed in a freezer
with temperature 0F. After 5 minutes, the temperature of the coffee
is 87F. Find the coffee's temperature
after 10 minutes.

(1 point) Newton's Law of Cooling states that the rate of
cooling of an object is proportional to the temperature difference
between the object and its surroundings. Suppose t is time, T is
the temperature of the object, and Ts is the surrounding
temperature. The following differential equation describes Newton's
Law dT/dt=k(T−Ts), where k is a constant. Suppose that we consider
a 95∘C cup of coffee in a 25∘C room. Suppose it is known that the
coffee cools at a...

In 1701, Issac Newton proved his Law of Cooling: T(t)
=Aekt +Ta, which is an exponential model that
relates the temperature of an object T as a function of
time t (we will use minutes) that is placed in an
environment with ambient temperature Ta.
Suppose a cup of hot coffee is served at 160◦F and placed in a
room with an ambient temperature 75◦. After 5 minutes, the cup of
coffee has a temperature of 131◦F.
a) Create a...

Question B:
Newton's law of cooling states
dθ/dt = −k (θ−T)
where ? is the temperature at time t, T is the constant
surrounding temperature and k is a constant.
If a mass with initial temperature, θ0, of 319.5 K is
placed in a surroundings of 330.5 K, and k is 0.011 s-1
, what is its temperature after 4.7 minutes? Give your answer to 4
significant figures and remember to use units.
____________

Newton's Law of Cooling tells us that the rate of change of the
temperature of an object is proportional to the temperature
difference between the object and its surroundings. This can be
modeled by the differential equation dTdt=k(T−A)dTdt=k(T-A), where
TT is the temperature of the object after tt units of time have
passed, AA is the ambient temperature of the object's surroundings,
and kk is a constant of proportionality.
Suppose that a cup of coffee begins at 179179 degrees and,...

1. A roast turkey is taken from an oven when its temperature has
reached 185°F and is placed on a table in a room where the
temperature is 75°F. (Round your answer to the nearest whole
number.)
(a) If the temperature of the turkey is 150°F after half an
hour, what is the temperature after 60 minutes?
T(60) = °F
(b) When will the turkey have cooled to 95°?
t = min
2. Let c be a positive number. A differential equation...

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